Let's find the slope first.
6-4/9-3
2/6, or 1/3.
So, y=1/3x+b
Now, if x=0, then we'll find the y intercept(b), and vice-versa for the x intercept.(y=0 for x intercept[NOT NEEDED FOR THIS PROBLEM])
Let's substitute (3,4) into the problem.
4=1/3*3+b
4=b+1
Subtract 1 from both sides.
b=3.
So, the slope-intercept form is y=1/3x+3